#include <cstdio>
#include <cstdlib>
#include <algorithm>
#include <cassert>
#include <cstring>
using namespace std;
int N;
int s[505], p[505], g[505], cnt = 1, cnt2 = 1, rmtime[505], rm[505], tot;
int special, rms[505];
char op[505];
int mat[3][3], adj[3][3];
int gcd(int a, int b) {
while (b != 0) {
int temp = b;
b = a%b;
a = temp;
}
return a;
}
void simplify(int x) {
int v = gcd(s[x], gcd(p[x], g[x]));
if (v > 1) {
s[x] /= v;
p[x] /= v;
g[x] /= v;
}
}
int det(int a, int b, int c) {
return s[a] * p[b] * g[c] + s[b] * p[c] * g[a] + s[c] * p[a] * g[b]
- s[c] * p[b] * g[a] - s[a] * p[c] * g[b] - s[b] * p[a] * g[c];
}
int works(int a, int b, int c) {
int d = det(a, b, c);
if (d == 0) return 0;
// matrix
mat[0][0] = s[a];
mat[0][1] = s[b];
mat[0][2] = s[c];
mat[1][0] = p[a];
mat[1][1] = p[b];
mat[1][2] = p[c];
mat[2][0] = g[a];
mat[2][1] = g[b];
mat[2][2] = g[c];
// adjugate
adj[0][0] = mat[1][1]*mat[2][2] - mat[1][2]*mat[2][1];
adj[0][1] = mat[0][2]*mat[2][1] - mat[0][1]*mat[2][2];
adj[0][2] = mat[0][1]*mat[1][2] - mat[0][2]*mat[1][1];
adj[1][0] = mat[1][2]*mat[2][0] - mat[1][0]*mat[2][2];
adj[1][1] = mat[0][0]*mat[2][2] - mat[0][2]*mat[2][0];
adj[1][2] = mat[0][2]*mat[1][0] - mat[0][0]*mat[1][2];
adj[2][0] = mat[1][0]*mat[2][1] - mat[1][1]*mat[2][0];
adj[2][1] = mat[0][1]*mat[2][0] - mat[0][0]*mat[2][1];
adj[2][2] = mat[0][0]*mat[1][1] - mat[0][1]*mat[1][0];
// Multiply with final vector to get result
int res[3];
res[0] = adj[0][0] * s[0] + adj[0][1] * p[0] + adj[0][2] * g[0];
res[1] = adj[1][0] * s[0] + adj[1][1] * p[0] + adj[1][2] * g[0];
res[2] = adj[2][0] * s[0] + adj[2][1] * p[0] + adj[2][2] * g[0];
if (d < 0) {
res[0] = -res[0];
res[1] = -res[1];
res[2] = -res[2];
}
//printf("works(%d, %d, %d): %d %d %d\n", a, b, c, res[0], res[1], res[2]);
return min(res[0], min(res[1], res[2])) >= 0;
}
int two(int t) {
for (int i = 1; i < cnt2; i++) if (rmtime[i] > t) {
for (int j = 1; j < i; j++) if (rmtime[j] > t) {
if (det(i, j, 0) == 0) {
return 1;
}
}
}
return 0;
}
void chk(int x) {
for (int i = 1; i < x; i++) {
for (int j = 1; j < i; j++) {
if (works(j, i, x)) {
//printf("triplet %d %d %d works\n", j, i, x);
int rip = min(min(rmtime[i], rmtime[j]), rmtime[x]);
if (rip < 6969) {
rm[rip]++;
}
tot++;
}
}
}
if (s[x] == s[0] && p[x] == p[0] && g[x] == g[0]) {
if (rmtime[x] < 6969) rms[rmtime[x]]++;
special++;
}
}
int main() {
scanf("%d %d %d %d", s+0, p+0, g+0, &N);
simplify(0);
assert(N <= 500);
for (int i = 1; i <= N; i++) {
scanf(" %c", op+i);
if (op[i] == 'A') {
scanf("%d %d %d", s+cnt, p+cnt, g+cnt);
simplify(cnt);
rmtime[cnt] = 6969;
cnt++;
} else {
int ng;
scanf("%d", &ng);
rmtime[ng] = i;
}
}
for (int i = 1; i <= N; i++) {
tot -= rm[i];
special -= rms[i];
if (op[i] == 'A') {
chk(cnt2);
cnt2++;
}
assert(tot >= 0 && special >= 0);
if (special) {
printf("1\n");
} else if (two(i)) {
printf("2\n");
} else if (tot > 0) {
printf("3\n");
} else {
printf("0\n");
}
}
}
Compilation message
Mixture.cpp: In function 'int main()':
Mixture.cpp:106:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
106 | scanf("%d %d %d %d", s+0, p+0, g+0, &N);
| ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Mixture.cpp:110:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
110 | scanf(" %c", op+i);
| ~~~~~^~~~~~~~~~~~~
Mixture.cpp:112:9: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
112 | scanf("%d %d %d", s+cnt, p+cnt, g+cnt);
| ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Mixture.cpp:118:9: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
118 | scanf("%d", &ng);
| ~~~~~^~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
256 KB |
Output is correct |
| 2 |
Incorrect |
0 ms |
256 KB |
Output isn't correct |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
256 KB |
Output is correct |
| 2 |
Incorrect |
0 ms |
256 KB |
Output isn't correct |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
256 KB |
Output is correct |
| 2 |
Incorrect |
0 ms |
256 KB |
Output isn't correct |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
256 KB |
Output is correct |
| 2 |
Incorrect |
0 ms |
256 KB |
Output isn't correct |
| 3 |
Halted |
0 ms |
0 KB |
- |
